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Finding the Fourth Proportional to 441.31, 661.47 and 167.23

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Solution

The fourth proportional to 441.31, 661.47 and 167.23 is: 250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.31 : 661.47 = 167.23 : x
  2. Step 2: Convert to fraction form
    441.31/661.47 = 167.23/x
  3. Step 3: Cross multiply
    441.31x = 661.47 × 167.23
  4. Step 4: Simplify right side
    441.31x = 110,617.63
  5. Step 5: Solve for x
    x = 110,617.63/441.31
  6. Step 6: Final answer
    x = 250.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.